In this paper, we characterize all finitely generated multiplication R-modules whose the first nonzero Fitting ideal of them is contained in only finitely many maximal ideals. Also, we prove that a finitely generated multiplication R-module M is faithful if and only if M is a projective of constant rank one R-module
We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodul...
AbstractLet R be a commutative ring and K be a submodule of Rm, and let I be the first nonzero Fitti...
AbstractWe find upper bounds for codimensions of Fitting ideals of a module (over a regular ring), w...
summary:Let $R$ be a commutative Noetherian ring and $M$ be a finitely generated $R$-module. The mai...
summary:Let $R$ be a commutative Noetherian ring and $M$ be a finitely generated $R$-module. The mai...
Our main aim in this note, is a further generalization of a result due to D. D. Anderson, i.e., it i...
summary:Let $R$ be a commutative ring with non-zero identity. Various properties of multiplication m...
summary:We shall prove that if $M$ is a finitely generated multiplication module and $\mathop {\mat...
summary:We shall prove that if $M$ is a finitely generated multiplication module and $\mathop {\mat...
AbstractWe prove results which include necessary and sufficient conditions for a multiplication modu...
AbstractLet I1, I2,… be 2-sided ideals in a ring R, and let us define ΠIi = ∩n I1 … In. How can we f...
Let M be an R-module. The module M is called multiplication if for anysubmodule N of M we have N = I...
To each finitely presented module M over a commutative ring R one can associate an R-ideal FitR(M) w...
To each finitely presented module M over a commutative ring R one can associate an R-ideal FitR(M) w...
AbstractLet R be a commutative ring and K be a submodule of Rm, and let I be the first nonzero Fitti...
We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodul...
AbstractLet R be a commutative ring and K be a submodule of Rm, and let I be the first nonzero Fitti...
AbstractWe find upper bounds for codimensions of Fitting ideals of a module (over a regular ring), w...
summary:Let $R$ be a commutative Noetherian ring and $M$ be a finitely generated $R$-module. The mai...
summary:Let $R$ be a commutative Noetherian ring and $M$ be a finitely generated $R$-module. The mai...
Our main aim in this note, is a further generalization of a result due to D. D. Anderson, i.e., it i...
summary:Let $R$ be a commutative ring with non-zero identity. Various properties of multiplication m...
summary:We shall prove that if $M$ is a finitely generated multiplication module and $\mathop {\mat...
summary:We shall prove that if $M$ is a finitely generated multiplication module and $\mathop {\mat...
AbstractWe prove results which include necessary and sufficient conditions for a multiplication modu...
AbstractLet I1, I2,… be 2-sided ideals in a ring R, and let us define ΠIi = ∩n I1 … In. How can we f...
Let M be an R-module. The module M is called multiplication if for anysubmodule N of M we have N = I...
To each finitely presented module M over a commutative ring R one can associate an R-ideal FitR(M) w...
To each finitely presented module M over a commutative ring R one can associate an R-ideal FitR(M) w...
AbstractLet R be a commutative ring and K be a submodule of Rm, and let I be the first nonzero Fitti...
We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodul...
AbstractLet R be a commutative ring and K be a submodule of Rm, and let I be the first nonzero Fitti...
AbstractWe find upper bounds for codimensions of Fitting ideals of a module (over a regular ring), w...